Global Behavior of Positive Solutions of a Generalized Lane–Emden System of Nonlinear Differential Equations
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DOI: 10.1007/s00009-017-0889-7
Abstract: In this paper we discuss the existence and the global behavior of positive solutions of the following generalized Lane–Emden system of differential equations: $$\begin{aligned} -u''= & {} a(x)u^{\alpha }\,v^{r}\quad \text{ in } (0,1), \\ -v''=… read more here.
Keywords: behavior positive; emden system; positive solutions; generalized lane ... See more keywords
Global behavior of a rational second order difference equation
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DOI: 10.1007/s12190-019-01276-9
Abstract: In this paper, we solve the difference equation $$\begin{aligned} x_{n+1}=\frac{\alpha }{1-x_nx_{n-1}}, \quad n=0,1,\ldots , \end{aligned}$$ x n + 1 = α 1 - x n x n - 1 , n = 0 , 1… read more here.
Keywords: difference equation; global behavior; alpha frac; frac sqrt ... See more keywords
Global behavior of a max-type system of difference equations with four variables
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DOI: 10.1007/s12190-021-01543-8
Abstract: In this paper, we investigate global behavior of the following max-type system of difference equations with four variables $$\begin{aligned} \left\{ \begin{array}{ll}x_{n} = \max \Big \{A,\frac{z_{n-1}}{y_{n-2}}\Big \},\\ y_{n} = \max \Big \{B ,\frac{w_{n-1}}{x_{n-2}}\Big \},\\ z_{n} =… read more here.
Keywords: max type; system; max; system difference ... See more keywords